Search a number
-
+
322142324331097 is a prime number
BaseRepresentation
bin100100100111111001001101…
…0110011110001001001011001
31120020121111122110121002002001
41021033302122303301021121
5314210434440012043342
63101050050223441001
7124566005051045614
oct11117623263611131
91506544573532061
10322142324331097
119370a879940876
1230169410756161
1310a99b7722593a
145979ab373517b
1527399db4be8b7
hex124fc9acf1259

322142324331097 has 2 divisors, whose sum is σ = 322142324331098. Its totient is φ = 322142324331096.

The previous prime is 322142324331083. The next prime is 322142324331169. The reversal of 322142324331097 is 790133423241223.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 225674785170576 + 96467539160521 = 15022476^2 + 9821789^2 .

It is an emirp because it is prime and its reverse (790133423241223) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-322142324331097 is a prime.

It is not a weakly prime, because it can be changed into another prime (322142324331007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 161071162165548 + 161071162165549.

It is an arithmetic number, because the mean of its divisors is an integer number (161071162165549).

Almost surely, 2322142324331097 is an apocalyptic number.

It is an amenable number.

322142324331097 is a deficient number, since it is larger than the sum of its proper divisors (1).

322142324331097 is an equidigital number, since it uses as much as digits as its factorization.

322142324331097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1306368, while the sum is 46.

The spelling of 322142324331097 in words is "three hundred twenty-two trillion, one hundred forty-two billion, three hundred twenty-four million, three hundred thirty-one thousand, ninety-seven".